Stereo Array Positioning Algorithm Based on Vector Projection
The traditional ultra-short baseline positioning algorithm for stereo arrays exhibits high computational complexity and struggles to accurately represent the positioning error through an explicit formula.To address these challenges,a stereo array positioning algorithm based on vector projection is proposed.The observation equations between the baseline vectors in the stereo array and the target bearing were constructed based on the vector projection theorem,simplifying the positioning model of the traditional algorithm.In the proposed algorithm,the target bearing is obtained by solving a system of linear equations,which results in lower time complexity.Additionally,an accurate analytical representation of the positioning error applicable to the stereo array is provided based on the concise observation equations of the proposed algorithm.The simulation results show that the computational time required by the proposed algorithm is significantly lower compared to the traditional algorithm,and the variation pattern of the positioning error is consistent with the conclusion drawn from the theoretical analysis.The experimental results further indicate that the proposed algorithm achieves almost the same positioning accuracy but higher computation efficiency comparable to the traditional algorithm.